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Finding the Fourth Proportional to 259,267, 357,788.70 and 140,035

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Solution

The fourth proportional to 259,267, 357,788.70 and 140,035 is: 193,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,267 : 357,788.70 = 140,035 : x
  2. Step 2: Convert to fraction form
    259,267/357,788.70 = 140,035/x
  3. Step 3: Cross multiply
    259,267x = 357,788.70 × 140,035
  4. Step 4: Simplify right side
    259,267x = 50,102,940,604.50
  5. Step 5: Solve for x
    x = 50,102,940,604.50/259,267
  6. Step 6: Final answer
    x = 193,248.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.